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34133121240 = 2335284442677
BaseRepresentation
bin11111110010011111…
…100001100011011000
310021002210111012211120
4133302133201203120
51024401034334430
623402555125240
72315564513001
oct376237414330
9107083435746
1034133121240
1113526291209
126747143820
1332ac755b7a
14191b3321a8
15d4b8e7610
hex7f27e18d8

34133121240 has 32 divisors (see below), whose sum is σ = 102399364080. Its totient is φ = 9102165632.

The previous prime is 34133121221. The next prime is 34133121247. The reversal of 34133121240 is 4212133143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34133121240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133121247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142221219 + ... + 142221458.

Almost surely, 234133121240 is an apocalyptic number.

34133121240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34133121240 is an abundant number, since it is smaller than the sum of its proper divisors (68266242840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34133121240 is a wasteful number, since it uses less digits than its factorization.

34133121240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284442691 (or 284442687 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34133121240 its reverse (4212133143), we get a palindrome (38345254383).

The spelling of 34133121240 in words is "thirty-four billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284442677 568885354 853328031 1137770708 1422213385 1706656062 2275541416 2844426770 3413312124 4266640155 5688853540 6826624248 8533280310 11377707080 17066560620 34133121240